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Finding the Third Proportional to 307,905 and 490,317

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Solution

The third proportional to 307,905 and 490,317 is: 780,795.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,905 : 490,317 = 490,317 : x
  2. Step 2: Convert to fraction form
    307,905/490,317 = 490,317/x
  3. Step 3: Cross multiply
    307,905x = 490,317 × 490,317
  4. Step 4: Simplify right side
    307,905x = 240,410,760,489
  5. Step 5: Solve for x
    x = 240,410,760,489/307,905
  6. Step 6: Final answer
    x = 780,795.25

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.